Results 11 to 20 of about 48 (44)

On a nonlinear compactness lemma in Lp(0, T; B)

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 27, Page 1725-1730, 2003., 2003
We consider a nonlinear counterpart of a compactness lemma of Simon (1987), which arises naturally in the study of doubly nonlinear equations of elliptic‐parabolic type. This paper was motivated by previous results of Simon (1987), recently sharpened by Amann (2000), in the linear setting, and by a nonlinear compactness argument of Alt and Luckhaus ...
Emmanuel Maitre
wiley   +1 more source

Positive solutions of some nonlocal boundary value problems

Abstract and Applied Analysis, Volume 2003, Issue 18, Page 1047-1060, 2003., 2003
We establish the existence of positive solutions of some m‐point boundary value problems under weaker assumptions than previously employed. In particular, we do not require all the parameters occurring in the boundary conditions to be positive. Our results allow more general behaviour for the nonlinear term than being either sub‐ or superlinear.
Gennaro Infante, J. R. L. Webb
wiley   +1 more source

Commutators in real interpolation with quasi‐power parameters

Abstract and Applied Analysis, Volume 7, Issue 5, Page 239-257, 2002., 2002
The basic higher order commutator theorem is formulated for the real interpolation methods associated with the quasi‐power parameters, that is, the function spaces on which Hardy inequalities are valid. This theorem unifies and extends various results given by Cwikel, Jawerth, Milman, Rochberg, and others, and incorporates some results of Kalton to the
Ming Fan
wiley   +1 more source

Some properties of Urysohn‐Stieltjes integral operators

International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 1, Page 79-88, 1998., 1996
We investigate some properties of Urysohn‐Stieltjes integral operators. The assumptions will be formulated under which the operators in question transform the space of coatinuous functions into itself or in the space of functions of bounded variation, are continuous or are compact.
Józef Banaś
wiley   +1 more source

Differential inequalities for hysteresis systems

International Journal of Stochastic Analysis, Volume 9, Issue 4, Page 459-468, 1996., 1996
The theory of differential inequalities is extended to functional‐differential equations with hysteresis nonlinearities. A key feature is the existence of a semiorder of the state space of nonlinearity and a special monotonicity of the righthand side of differential inequality. This article is dedicated to the memory of Roland L. Dobrushin.
Vladimir V. Chernorutskii, Mark A. Krasnosel′skii   +1 more
wiley   +1 more source

Some inequalities and superposition operator in the space of regulated functions

Advances in Nonlinear Analysis, 2019
Some inequalities connected to measures of noncompactness in the space of regulated function R(J, E) were proved in the paper. The inequalities are analogous of well known estimations for Hausdorff measure and the space of continuous functions.
Olszowy Leszek, Zając Tomasz
doaj   +1 more source

The superposition operator in the space of functions continuous and converging at infinity on the real half-axis

Advances in Nonlinear Analysis, 2019
We will consider the so-called superposition operator in the space CC(ℝ+) of real functions defined, continuous on the real half-axis ℝ+ and converging to finite limits at infinity.
Rzepka Beata, Ścibisz Justyna
doaj   +1 more source

Nonlinear Spectral Theories and Solvability of Nonlinear Hammerstein Equations [PDF]

, 2010
AMS Subj. Classification: 47J10, 47H30, 47H10We study some possibilities of nonlinear spectral theories for solving nonlinear operator equations. The main aim is to research a spectrum and establish some kind of nonlinear Fredholm alternative for ...
Halilović, Sanela
core  

Superposition operator problems of Hölder-Lipschitz spaces

Demonstratio Mathematica
Let ff be a function defined on the real line, and Tf{T}_{f} be the corresponding superposition operator which maps hh to Tf(h){T}_{f}\left(h), i.e., Tf(h)=f∘h{T}_{f}\left(h)=f\circ h. In this article, the sufficient and necessary conditions such that Tf{
Niu Yeli, Wang Heping
doaj   +1 more source

A topological analysis of p(x)-harmonic functionals in one-dimensional nonlocal elliptic equations

Advanced Nonlinear Studies
We consider a class of one-dimensional elliptic equations possessing a p(x)-harmonic functional as a nonlocal coefficient.
Goodrich Christopher S.
doaj   +1 more source